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Finding the Fourth Proportional to 123.07, 169.65 and 86.32

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Solution

The fourth proportional to 123.07, 169.65 and 86.32 is: 118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.07 : 169.65 = 86.32 : x
  2. Step 2: Convert to fraction form
    123.07/169.65 = 86.32/x
  3. Step 3: Cross multiply
    123.07x = 169.65 × 86.32
  4. Step 4: Simplify right side
    123.07x = 14,644.19
  5. Step 5: Solve for x
    x = 14,644.19/123.07
  6. Step 6: Final answer
    x = 118.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.